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Finding the Fourth Proportional to 20,998.76, 31,498.74 and 7,848.61

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Solution

The fourth proportional to 20,998.76, 31,498.74 and 7,848.61 is: 11,773.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,998.76 : 31,498.74 = 7,848.61 : x
  2. Step 2: Convert to fraction form
    20,998.76/31,498.74 = 7,848.61/x
  3. Step 3: Cross multiply
    20,998.76x = 31,498.74 × 7,848.61
  4. Step 4: Simplify right side
    20,998.76x = 247,221,247.00
  5. Step 5: Solve for x
    x = 247,221,247.00/20,998.76
  6. Step 6: Final answer
    x = 11,773.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.